Z9–I–1

In all nine fields of given shape to be filled natural numbers so that:

• each of the numbers 2, 4, 6, and 8 is used at least once,
• four of the inner square boxes containing the products of the numbers of adjacent cells of the outer square,
• in the circle is the sum of the numbers of adjacent cells of the inner square.

Find out what the smallest and the largest number that can be written in a circle.

Correct result:

a =  0
b =  0

Try another example

Showing 0 comments:

Next similar math problems:

• Octahedron - sum
  On each wall of a regular octahedron is written one of the numbers 1, 2, 3, 4, 5, 6, 7 and 8, wherein on different sides are different numbers. For each wall John make the sum of the numbers written of three adjacent walls. Thus got eight sums, which also
• Z9-I-4
  Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina
• Larger perimeter
  There are a square and a circle that passes through two adjacent vertices of the square (end points of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter?
• Last digit
  What is the last number of 2016 power of 2017
• Z9–I–4 MO 2017
  Numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of each of the three was equal to the sum of the remaining two. The conduct
• Digits
  Write the smallest and largest 2-digit number.
• Air draft
  The numbers 1,2,3,4,5 are written on five tickets on the table. Air draft randomly shuffled the tickets and composed a 5-digit number from them. What is the probability that he passed: and, the largest possible number b, the smallest possible number c, a
• Amazing number
  An amazing number is name for such even number, the decomposition product of prime numbers has exactly three not necessarily different factors and the sum of all its divisors is equal to twice that number. Find all amazing numbers.
• Mr. Zucchini
  Mr. Zucchini had a rectangular garden whose perimeter is 28 meters. The garden's content area filled just four square beds, whose dimensions in meters are expressed in whole numbers. Determine what size could have a garden. Find all the possibilities and
• Decide
  The rectangle is divided into seven fields. On each box is to write just one of the numbers 1, 2 and 3. Mirek argue that it can be done so that the sum of the two numbers written next to each other was always different. Zuzana (Susan) instead argue that i
• Star equation
  Write digits instead of stars so that the sum of the written digits is odd and is true equality: 42 · ∗8 = 2 ∗∗∗
• Square grid
  Square grid consists of a square with sides of length 1 cm. Draw in it at least three different patterns such that each had a content of 6 cm² and circumference 12 cm and that their sides is in square grid.
• Hexagon - MO
  The picture shows the ABCD square, the EFGD square and the HIJD rectangle. Points J and G lie on the side CD and is true |DJ|
• Self-counting machine
  The self-counting machine works exactly like a calculator. The innkeeper wanted to add several three-digit natural numbers on his own. On the first attempt, he got the result in 2224. To check, he added these numbers again and he got 2198. Therefore, he a
• Mrak - cloud
  It is given segment AB of length 12 cm, where one side of the square MRAK laid on it. MRAK's side length 2 cm shown. MRAK gradually flips along the line segment AB the point R leaves a paper trail. Draw the whole track of point R until square can do the l
• Alarm clock
  The old watchmaker has a unique digital alarm in its collection that rings whenever the sum of digits of the alarm is equal to 21. Find out when the alarm clock will ring. What is their number? List all options . ..
• Four-digit number
  Find also a four-digit number, which quadrupled written backwards is the same number.